122131230313032 has 96 divisors (see below), whose sum is σ = 341498651719680. Its totient is φ = 39390651555840.

The previous prime is 122131230313019. The next prime is 122131230313049. The reversal of 122131230313032 is 230313032131221.

122131230313032 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 312 + 3 + 0 + 313 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122131230312987 and 122131230313005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8972488 + ... + 18021320.

It is an arithmetic number, because the mean of its divisors is an integer number (3557277622080).

Almost surely, 2^{122131230313032} is an apocalyptic number.

122131230313032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122131230313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170749325859840).

122131230313032 is an abundant number, since it is smaller than the sum of its proper divisors (219367421406648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122131230313032 is a wasteful number, since it uses less digits than its factorization.

122131230313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054923 (or 9054916 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122131230313032 its reverse (230313032131221), we get a palindrome (352444262444253).

The spelling of 122131230313032 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred thirty million, three hundred thirteen thousand, thirty-two".